8.164   ODE No. 1754

$$\boxed{{\displaystyle ny\left(x\right)\frac{{\mathrm{d}}^2}{\mathrm{d}{x}^2}y\left(x\right)-(n-1){\left(\frac{\mathrm{d}}{\mathrm{d}x}y\left(x\right)\right)}^2=0}}$$

1. Problem in Latex
2. Mathematica input
3. Maple input

Mathematica: cpu = 0.033504 (sec), leaf count = 17 $$\left\{\{y(x)\to c_2(x-c_{1}n){}^n\}\right\}$$

Maple: cpu = 1.544 (sec), leaf count = 15 $$\{y\left(x\right)={\left(\frac{\mathit{\_}\mathit{C}\mathit{1}x+\mathit{\_}\mathit{C}\mathit{2}}{n}\right)}^n\}$$